English

Embedding the Schwarzschild Ideal Fluid Metric

General Relativity and Quantum Cosmology 2007-05-23 v2

Abstract

Certain semi-Riemannian metrics can be decomposed into a Riemannian part and an isochronal part. The properties of such metrics are particularly easy to visualize in a coordinate-free way, using isometric embedding. We present such an isochronal, isometric embedding of the well known Schwarzschild ideal fluid metric in an attempt to see what is happening when the pressure becomes singular.

Keywords

Cite

@article{arxiv.gr-qc/0701062,
  title  = {Embedding the Schwarzschild Ideal Fluid Metric},
  author = {Earnest Harrison},
  journal= {arXiv preprint arXiv:gr-qc/0701062},
  year   = {2007}
}

Comments

5 pages, 9 figures, minor correction

R2 v1 2026-07-22T12:47:20.157Z